AretzyX79089 AretzyX79089
  • 25-10-2022
  • Mathematics
contestada

What is the perimeter of this trapezoid? A. 17B. 18.5C. 20D. None of the aboveI would appreciate the help

What is the perimeter of this trapezoid A 17B 185C 20D None of the aboveI would appreciate the help class=

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ShrithaI682274 ShrithaI682274
  • 25-10-2022

The perimeter is equal to the sum of the measures of the sides.

we know 3 sides. to find the diagonal missing side:

The trapezoid is formed by a square and a right triangle with sides

a=4 and b=3

Apply Pythagorean theorem:

c^2 = a^2+b^2

Where c is the hypotenuse of the triangle, and a and b are the other 2 legs.

Solve for c:

c^2 = 4^2+3^2

c^2 = 16+9

c^2 = 25

c=√25

c= 5

Add all the side lengths:

Perimeter: 4+4+7+5 = 20

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